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82470840 = 23351813797
BaseRepresentation
bin1001110101001…
…10011110111000
312202011221201120
410322212132320
5132103031330
612103345240
72020663524
oct472463670
9182157646
1082470840
1142609621
1223752220
1314116c1a
14ad4ad84
157390c10
hex4ea67b8

82470840 has 64 divisors (see below), whose sum is σ = 248844960. Its totient is φ = 21864960.

The previous prime is 82470833. The next prime is 82470851. The reversal of 82470840 is 4807428.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19822 + ... + 23618.

Almost surely, 282470840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82470840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124422480).

82470840 is an abundant number, since it is smaller than the sum of its proper divisors (166374120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82470840 is a wasteful number, since it uses less digits than its factorization.

82470840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 82470840 is about 9081.3457152561. The cubic root of 82470840 is about 435.2780887981.

The spelling of 82470840 in words is "eighty-two million, four hundred seventy thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1086 1448 1810 2172 2715 3620 3797 4344 5430 7240 7594 10860 11391 15188 18985 21720 22782 30376 37970 45564 56955 75940 91128 113910 151880 227820 455640 687257 1374514 2061771 2749028 3436285 4123542 5498056 6872570 8247084 10308855 13745140 16494168 20617710 27490280 41235420 82470840